Articles liés à A Course on Topological Vector Spaces
Synopsis
This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem.
The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Jürgen Voigt is Professor at the Institute of Analysis of the Technische Universität in Dresden, Germany.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
Vendeur : Lucky's Textbooks, Dallas, TX, Etats-Unis
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A Course on Topological Vector Spaces (Paperback)
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Springer Nature Switzerland AG, Cham, 2020
ISBN 10 : 3030329445
ISBN 13 : 9783030329440
Neuf
Paperback
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Paperback. Etat : new. Paperback. This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banachs theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Kreins theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(W) and the space of distributions, and the Krein-Milman theorem. The book adopts an economic approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783030329440
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
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A Course on Topological Vector Spaces
Vendeur : Chiron Media, Wallingford, Royaume-Uni
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PF. Etat : New. N° de réf. du vendeur 6666-IUK-9783030329440
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A Course on Topological Vector Spaces
Edité par
Springer International Publishing Mrz 2020, 2020
ISBN 10 : 3030329445
ISBN 13 : 9783030329440
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach's theorem on weak\*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein's theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functionsD( ) and the space of distributions, and the Krein-Milman theorem.The book adopts an 'economic' approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians. 164 pp. Englisch. N° de réf. du vendeur 9783030329440
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 163. N° de réf. du vendeur 26383950541
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
Vendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. pp. 163. N° de réf. du vendeur 378872082
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A Course on Topological Vector Spaces
Edité par
Springer International Publishing, 2020
ISBN 10 : 3030329445
ISBN 13 : 9783030329440
Neuf
Kartoniert / Broschiert
Vendeur : moluna, Greven, Allemagne
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes a streamlined introduction to the duality theory of locally convex spaces, culminating in the Mackey-Arens theoremTreats various important topics concerning the weak topology of Banach spacesDiscuss. N° de réf. du vendeur 448679194
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